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Finding the Fourth Proportional to 564,103.48, 846,144.30 and 137,642.08

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Solution

The fourth proportional to 564,103.48, 846,144.30 and 137,642.08 is: 206,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,103.48 : 846,144.30 = 137,642.08 : x
  2. Step 2: Convert to fraction form
    564,103.48/846,144.30 = 137,642.08/x
  3. Step 3: Cross multiply
    564,103.48x = 846,144.30 × 137,642.08
  4. Step 4: Simplify right side
    564,103.48x = 116,465,061,432.14
  5. Step 5: Solve for x
    x = 116,465,061,432.14/564,103.48
  6. Step 6: Final answer
    x = 206,460.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.